{
  "id": "2110.03263",
  "version": "v1",
  "published": "2021-10-07T08:40:34.000Z",
  "updated": "2021-10-07T08:40:34.000Z",
  "title": "Lie algebra for rotational subsystems of a driven asymmetric top",
  "authors": [
    "Eugenio Pozzoli",
    "Monika Leibscher",
    "Mario Sigalotti",
    "Ugo Boscain",
    "Christiane P. Koch"
  ],
  "comment": "10 pages, 7 figures",
  "journal": "J. Phys. A: Math. Theor. 55, 215301 (2022)",
  "doi": "10.1088/1751-8121/ac631d",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We present an analytical approach to construct the Lie algebra of finite-dimensional subsystems of the driven asymmetric top rotor. Each rotational level is degenerate due to the isotropy of space, and the degeneracy increases with rotational excitation. For a given rotational excitation, we determine the nested commutators between drift and drive Hamiltonians using a graph representation. We then generate the Lie algebra for subsystems with arbitrary rotational excitation using an inductive argument.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-10-07T08:40:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lie algebra",
      "driven asymmetric",
      "rotational subsystems",
      "arbitrary rotational excitation",
      "degeneracy increases"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}